Answers
[tex]sin(51^o) = \frac{y}{hypotenuse} \to \ y=sin(51^o)*12 \approx 9.33 \ units[/tex]
b
[tex]sin \theta= \frac{opposite}{hypotenuse}= \frac{12}{13} \approx 0.9231 \ \to \ m \angle \theta \approx67.38^o[/tex]
с
[tex]tan(13^o)=\frac{opposite}{adjacent}= \frac{x}{24} \ \to \ x= tan(13^o)*24\approx5.54 \ units [/tex]
d
[tex]sin(20^o) = \frac{opposite}{x} = \frac{10}{x} \to \ x= \frac{10}{sin(20^o)} \approx29.24 \ units[/tex]
Related Questions
D: y> -1/3 x+1 helpppp
Answers
if <6 = <10 and <5 = <7, which describes all the lines that must be parallel?
Answers
A ball is thrown from an initial height of 1 meter with an initial upward velocity of 13 m/s. The ball's height h (in meters) after t seconds is given by the following.
h=1+13t-5t^2
Find all values of t for which the ball's height is 8 meters.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)
Answers
I hope I don't have to explain it again.
For t=1.84 and t=0.76 the ball's height is 8 meters in equation h=1+13t-[tex]5t^{2}[/tex].
What is equation?An equation is a relationship between two or more variables expressed in equal to form. Equation of two variables look like ax+ by=c. It is solved in order to find the values of variables.
How to solve equation?We have been given an equation h=1+13t-[tex]5t^{2}[/tex] and we have to find the values of t for which h=8.
So,
1+13t-[tex]5t^{2}[/tex]=8
[tex]-5t^{2}[/tex]+13t+1-8=0
[tex]-5t^{2}[/tex]+13t-7=0
Removing negative signs.
[tex]5t^{2}[/tex]-13t+7=0
We cannot solve through factorization so e use the following formula:
x=-b+-[tex]\sqrt{b^{2} -4ac}/2a[/tex]
t=(13+-[tex]\sqrt{-13^{2} -4*5*7}[/tex])/2*5
t=(13+-[tex]\sqrt{169-140}[/tex])/10
t=(13+5.38)/10, (13-5.38)/10
t=1.838, 0.762
By rounding off to nearest hundred t=1.84, 0.76.
Hence value of t for which h=8 meters are 1.84 and 0.76.
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Factor the following.
Answers
(x-10)^2
Answer: B
Hope this helps :)
Please give brainliest
Once again, I'll just go through all of the answer choices :)
a) (x - 5)(x - 4)
Simplify.
x² - 4x - 5x + 20
Add like terms.
x² - 9x + 20
So, A is incorrect.
b) (x - 10)(x - 10)
Simplify.
x² - 10x - 10x + 100
Add like terms.
x² - 20x + 100
So, B is correct.
c) (x + 10)²
(x + 10)(x + 10)
Simplify.
x² + 10x + 10x + 100
Add like terms.
x² + 20x + 100
So, C is incorrect.
d) (x + 10)(x - 10)
Simplify.
x² - 10x + 10x - 100
Add like terms.
x² - 100
So, D is incorrect.
Therefore, B is correct.
~Hope I helped!~
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = −1.
Answers
so, the left-part of the picture is the focus point and the directrix... .so.. notice, the focus is above the directrix, meaning is a vertical parabola and is opening upwards.
now, looking at the right-part of the picture, bear in mind that, the vertex is "p" units away from the directrix and the focus, so, the vertex is half-way between those fellows, notice in the picture what "p" is, keep in mind that, because the parabola is opening upwards, "p" is a positive unit, thus is 3.
[tex]\bf \textit{parabola vertex form with focus point distance}\\\\ \begin{array}{llll} (y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\ \boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\ \end{array} \qquad \begin{array}{llll} vertex\ ({{ h}},{{ k}})\\\\ {{ p}}=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array}\\\\ -------------------------------\\\\[/tex]
[tex]\bf \begin{cases} h=-5\\ k=2\\ p=3 \end{cases}\implies [x-(-5)]^2=4(3)(y-2) \\\\\\ (x+5)^2=12(y-2)\implies \cfrac{(x+5)^2}{12}=y-2\implies \cfrac{(x+5)^2}{12}+2=y \\\\\\ \cfrac{1}{12}(x+5)^2+2=y[/tex]
Answer: D
Step-by-step explanation: took the test
Determine whether the sequence converges or diverges. If it converges, give the limit.
11, 44, 176, 704, ...
Answers
This sequence, therefore, diverges to infinity
If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
A. (2, 1)
B. (1, 1)
C. (0, 1)
Answers
The point that lie on the line is:
B. (1,1)
Step-by-step explanation:We are given that a line passes through the point (0,-1) and has a slope of 2.
We know that the equation of a line passing through (a,b) and having slope m is given by:
[tex]y-b=m(x-a)[/tex]
Here we have: (a,b)=(0,-1) and m=2
This means that the equation of line is:
[tex]y-(-1)=2(x-0)\\\\y+1=2x\\\\y=2x-1[/tex]
Now we will check which option is true.
A)
(2,1)
when x=2
we have:
[tex]y=2\times 2-1\\\\\\y=4-1\\\\\\y=3\neq 1[/tex]
Hence, option: A is incorrect.
B)
(1,1)
when x=1
we have:
[tex]y=2\times 1-1\\\\\\y=2-1\\\\\\y=1[/tex]
Hence, option: B is correct.
C)
(0,1)
when x=0
we have:
[tex]y=2\times 0-1\\\\\\y=0-1\\\\\\y=-1\neq 1[/tex]
Hence, option: C is incorrect.
Find the value of the variable and DF if D is between C and F if CD 4y -9, DF 2y-7, and CF 14.
Answers
Rewrite the rational exponent as a radical.
5 to the 3 over 4 power, to the 2 over 3 power
A.the cube root of 5 squared
B. the twelfth root of 5
C. the square root of 5
D.the cube root of 5 the fourth power
Answers
C. the square root of 5
Convert 48°36'12" to the nearest thousandth of a degree
Answers
48 degrees remains
divide minutes by 60
36/60 = 0.6
then divide seconds by 3600
12/3600=0.003 ( to nearest thousandth)
now add them all up
48 +0.6 + 0.003 = 48.603 degrees
Help please..........,.,,,
Answers
10 POINTS!!! TO ANSWER CORRECTLY AND BRAINLIEST!!!!
Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum.
Answers
2/3 = 10/15
3/15 + 10/15 = 13/15
this leaves us with 10/15. Now, if we add 3/15 and 10/15, we get 13/15. This cannot be simplified because 13 is a prime number, thus it is only divisible by itself and 1.
P(A)=25,P(B|A)=920,P(A∩B)=?
Answers
We use the product rule in probability to find P(A∩B) = P(B|A) * P(A). Substituting given values, P(A∩B) = (9/20) * 25, which equals 11.25.
Explanation:The subject area of this question is probability, a topic within mathematics. Here, we are asked to find the intersection of Events A and B given the probabilities of A and the conditional probability of B given A. The rule of product in probability states that P(A∩B) = P(B|A) * P(A).
Let's calculate: P(B|A) is given as 9/20 while P(A) is 25. Thus,
P(A∩B) = P(B|A) * P(A) = (9/20) * 25 = 11.25
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Find the missing factor n(n-3)+2(n-3)=() (n-3)
Answers
Solve for the missing factor: [tex](x)[/tex]
[tex]n(n-3)+2(n-3)=x(n-3)[/tex]
Divide both sides by [tex](n-3)[/tex]:
[tex] \frac{n(n-3)}{(n-3)} + \frac{2(n-3)}{(n-3)}= \frac{x(n-3)}{(n-3)} [/tex]
Cancel Common Factors:
[tex]n+2=x[/tex]
The Missing Factor is:
[tex]\boxed{n+2}[/tex]
I hope this helped!
-Benjamin
Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building. If he places the ladder at a 60° angle with the ground, about how long is the ladder?
Answers
Let BC represent the wall, AC the ladder and AB the distance of the feet of the ladder to the wall.
ABC form a right triangle, with m(B)=90°, m(A)=60° and m(C)=30°.
AB is the side opposite the angle 30°, so the length of AB is half of the length of the hypotenuse AC.
Thus, let |AC|=2x, and |AB|=x.
By the Pythagorean theorem:
[tex] (2x)^{2}= x^{2} +30^{2} [/tex]
[tex] 4x^{2}= x^{2} +30^{2} [/tex]
[tex] 3x^{2}=30^{2}=900 [/tex]
[tex] x^{2}=300 [/tex]
thus [tex]x= 10\sqrt{3} [/tex]
the length of the ladder is [tex]2x= 20\sqrt{3}=34.64 [/tex] feet
Answer: [tex]20\sqrt{3}=34.64 [/tex] feet
The height of the ladder will be;
⇒ 20√3 feet
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
Tobius is going to climb a ladder to reach and fix a piece of siding located 30 feet above the ground on the building.
And, He places the ladder at a 60° angle with the ground.
Now,
Let the height of the ladder = h
So, We can formulate;
⇒ sin 60° = 30/h
⇒ √3/2 = 30/h
⇒ h = 30 × 2/√3
⇒ h = 20√3
Thus, The height of the ladder = 20√3 feet
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20 POINTS PLUS BRAINLIEST!!!
Which function is represented in the table of values?
x 0 -1 -2 -3
y 2 4 8 16
A.
y=2^x
B.
y=2(1/2)
C.
y=-2^x
D.
y=(1/2)^x
Answers
y = (1/2)^x
y = (1/2)^-1 = 2
y = (1/2)^-2 = 4
y = (1/2)^-3 = 8
Hope it helped!
PLEASE HELP ME!!!!
Part A: Amir rented a scooter at $43 for 3 hours. If he rents the same scooter for 8 hours, he has to pay a total rent of $113.
Write an equation in the standard form to represent the total rent (y) that Amir has to pay for renting the scooter for x hours.
Part B: Write the equation obtained in Part A using function notation.
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
Answers
The equation in standard form is given Ax+By+C = 0
where x is the gradient of a straight line (or the rate of change)
The rate of change = (113-43) / (8-3) = 70/5 = 14
This value means there's an increase of $14 for every hour rented.
We also need to work out the value of C, which is the fixed value (happen at x=0)
We know that Amir paid $43 for 3 hours.
Amir would have paid $29 for 2 hours
Amir would have paid $15 for 1 hour
Since the hourly rate is $14, the fixed fee is 15 - 14 = $1
The equation that represents the total cost of renting a scooter is
y = 14x + 1
Rearranging this equation to get the standard form
14x - y + 1 = 0
Part B:
Writing the equation as function ⇒ f(x) = 14x + 1
Part C:
To graph the equation, we can start by choosing the x-intervals, say we have the value of x between 0 and 10
x 0 1 2 3 4 5 6 7 8 9 10
y 1 15 29 43 57 71 85 99 113 127 141
Each pair of x-value and y-value is then plotted on a graph then each plot is joined to draw a straight line.
Answer:
Step-by-step explanation:
Part A: The two points that represent this situation are (3,43) and (8,113). To put this in standard form, I will first find the slope-intercept form. I did this in the image below.
Now, to find the standard form I will rearrange, 14x -y +1 = 0.
Part B: To put this in function notation I simply take my slope-intercept equation of y=14x+1, and replace y with f(x) so, f(x)=14x+1
Part C: To graph this, put the y, intercept at 1, and give the line a slope of 14/1. Label the x-axis with hours, from 0 - 8, and the y-axis with dollars, from 0-150.
for which of the following numbers does 5 appear in the tens place ?
*check all that applies*
a. 125.634
b. 56.89
c. 1250
d. 3.5
e. 92.57
Answers
answer:
b. 56.89
c. 1250
The question is "Find the number of elements in the following sets"
I sort of get it but it docks me points every time I get it wrong so I don't want to risk it
Answers
U=66+17+53+82=218
A' = 53+82=135
A'∩B=53
(A∩B)'=66+53+82=201
(A∪B)'=82
A' ∩ B' = 82
If 3a2 – 5ab – 2b2 is factored, one of the factors might be:
Answers
Note that
(3a)*(-2b) + a*b = -6ab + ab = -5ab
(3a)*a = 3a²
b*(-2b) = -2b²
Therefore
3a² - 5ab - 2b² = (3a + b)(a - 2b)
The factors are (3a + b) and (a - 2b).
Answer:
One of the factors is (3a + b).
Another factor is (a - 2b).
Help!!!!! Identify KPN
Answers
answer D. 70 (last choice)
Answer:
it is 70
Step-by-step explanation:
I guessed and got it right, lol
Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°. Approximately how tall is the tree?
Answers
tan theta=[opposite]/[adjacent]
theta=80
height=h
adjacent=5 m
hence;
tan80=h/5
hence;
h=5tan80
h=28.36 m
Please check my work!
Answers
what is the least common multiple of X and Y? X=2*2*2*2 Y=2*2*2*3
Answers
2*2*2*2*3=48
PLZ HEEEEEEEELPPPPPPPP!!!!!!!!!
Answers
for x = -8 → y = ∛-(-8) - 3 ↔ y = 2-3 ↔y = -1
for x= 8 → y= ∛(-8) - 3 ↔ y = -2 -3 ↔ y = -5
Then - 5≤ y≤ - 1
hence the range of y is {y|-5≤y≤-1}
If F(theta)=tan theta=3, find F(theta+pi)
Answers
f(θ) = tan(θ) = 3
Note that
[tex]tan(x+y) = \frac{tanx + tany}{1-tanx \, tany} [/tex]
Note that tan(π) = 0.
Therefore
f(θ + π) = tan(θ+π)
= (tanθ + tan π)/(1 -tanθ tan π)
= 3/1 = 3
Answer: 3
[tex]f(\theta) = tan( \theta) = 3[/tex]
So [tex]f(\theta + \pi) = tan (\theta + \pi)[/tex]
And we know [tex]tan(\theta + \pi) = -tan(\theta)[/tex] because it is in second quadrant and tan is negative in second quadrant.
So [tex]f(\theta + \pi) = -tan(\theta) = -3[/tex]
So answer is -3.
Find two consecutive positive integers such that thw sqaure of the first decreased by 25 equa;s three times the second
Answers
so
square of the first decreased by 25 equals 3 time the 2nd
the 2 integers are x and x+1
x²-25=3(x+1)
distribute
x²-25=3x+3
minus (3x+3) from both sides
x²-3x-28=0
factor
what 2 numbers muliply to get -28 and add to get -3
-7 and 4
(x-7)(x+4)=0
set to zero
x-7=0
x=7
x+4=0
x=-4
false, we want positive integers
x=7
x+1=8
the inegers are 7 and 8
decimal fundamentals
add 729.3 + 3.4006
Answers
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2-3x-3=0
Answers
(x - 1.5)^2 - 2.25 = 3
(x - 1.5) = +/- sqrt 5.25
x = 1.5 +/- sqrt5.25
x = -0.79, 3.79 to nearest hundredth
how to solve 46.2 x 10 with a negative 2 exponent
Answers
hope this helps:)